The electric potential in a certain region varies with position as V(x) = ax2 - bx + c, where a = 2.3 V/m2, b = 18.5 V/m, and c = 9.5 V. (a)  Find the electric field vector E in this region in terms of the given variables. Be sure to include a unit vector for direction.  (b)  What is the magnitude of the electric field, in volts per meter, at x = 1.0 m?  (c)  What is the direction of the electric field at x = 1.0 m?  (d)  What is the magnitude of the electric field, in volts per meter, at x = 5.0 m?  (e)  What is the direction of the electric field at x = 5.0 m?

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.